Constructal optimisation of heat generating volumes

Karakaş, Ahmet; Çamdalı, Ünal; Tunç, Murat

doi:10.1504/ijex.2009.027494

Cited by 16 publications

(8 citation statements)

References 22 publications

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“…Furthermore, the high effective conduction channel distribution was optimized by Wu et al [20] again without the assumption that the next order assembly was assembled by the optimized last one. Moreover, some scholars re-optimized Bejan's "volume-point" heat conduction model [16] based on the minimization of maximum temperature difference by getting rid of the perpendicular condition of the high and low conductivity channel [21], adopting nonuniform tree structure [22], calculating precise heat generating areas [23], considering variable cross-section high conductivity channels and variable elemental shapes [24e26], arbitrary shapes [27] as well as three-dimensional heat conduction models [28e30].…”

Section: Introductionmentioning

confidence: 99%

“Volume-point” heat conduction constructal optimization based on minimization of maximum thermal resistance with triangular element at micro and nanoscales

Feng

Xie

Sun

2016

Journal of the Energy Institute

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Section: Introductionmentioning

confidence: 99%

“Volume-point” heat conduction constructal optimization based on minimization of maximum thermal resistance with triangular element at micro and nanoscales

Feng

Xie

Sun

2016

Journal of the Energy Institute

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“…This theory can be expressed, for simplicity, as the structure derived from the optimal performance. Since constructal theory was applied to optimization problems involving heat conduction [3], constructal theory has been developing rapidly [4][5][6][7][8][9][10][11][12][13][14][15][16] and has provided new research impetus into heat transfer problems [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Constructal design for a steam generator based on entransy dissipation extremum principle

Xiao

Chen

Sun

2011

Sci. China Technol. Sci.

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Steam generator is optimized by applying entransy dissipation extremum principle and constructal theory and adopting analytical method. The obtained results show that the optimal spacing between adjacent tubes, the mass flow rate of gas and the maximum entransy dissipation rate all depend on the dimensionless diameter of one tube, the dimensionless pressure difference number and the dimensionless length of flow channel of gas. Besides the three dimensionless groups, the optimal numbers of riser tubes and downcomer tubes and their summation all depend on the dimensionless height of one tube. The maximum entransy dissipation rate increases as the pressure difference that drives the gas flowing increases, and as the diameter of one tube and the length of flow channel both decrease. The mean heat flux in the heat transfer process of hot gas grows greatly, and the performance of the system is improved. Compared with the optimal construct with heat transfer rate maximization, the optimal construct with entransy dissipation rate maximization can improved the heat transfer effect of the steam generator more. entransy dissipation extremum principle, constructal theory, steam generator, entransy dissipation rate, generalized thermodynamic optimization Citation:Xiao Q H, Chen L G, Sun F R. Constructal design for a steam generator based on entransy dissipation extremum principle.

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“…The optimization results showed that the minimum maximum temperature difference obtained through assembling could be obtained by changing the cross-section of conducting path in the same assembly's order. Karakas et al [17] proposed a more exact constructal optimization of the rectangular heat generating volume considering the conducting path fraction of the volume. It should be noticed that though the studies mentioned above improved the "volume-point" heat conduction, they also showed that the assembling method proposed by Bejan could not decrease the maximum temperature difference steadily as the assembling order increased.…”

Section: Introductionmentioning

confidence: 99%

Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization

Wei

Chen

Sun

2010

Sci. China Technol. Sci.

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Using constructal entransy dissipation rate minimization method based on discrete variable cross-section conducting path, constructal optimizations of elemental area with variable cross-section conducting path are performed, and the results are compared with the optimization results of elemental area with the constant cross-section conducting path. The comparison shows that the minimum mean temperature difference based on elemental area with variable cross-section conducting path increases and approaches a constant as the assembly's order increases, but the minimum mean temperature difference based on elemental area with constant cross-section conducting path decreases and approaches a constant as the assembly's order increases. The difference between them is caused by the different dimensionless mean temperature difference of the first order assembly. A universal constructal optimization method by self similar organization to improve heat transfer ability and its corresponding rule are proposed. With the constructal optimization method by self similar organization based on entransy dissipation rate minimization objective, the mean temperature difference approaches a constant as the assembly's order increases.constructal theory, entransy, entransy dissipation, area-point conduction, generalized thermodynamic optimization Citation:Wei S H, Chen L G, Sun F R. Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization.

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Constructal optimisation of heat generating volumes

Cited by 16 publications

References 22 publications

“Volume-point” heat conduction constructal optimization based on minimization of maximum thermal resistance with triangular element at micro and nanoscales

“Volume-point” heat conduction constructal optimization based on minimization of maximum thermal resistance with triangular element at micro and nanoscales

Constructal design for a steam generator based on entransy dissipation extremum principle

Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization

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